Affine Algebraic Varieties: Zariski Topology

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (32)

Page 3 of 4

Commutative Algebra: Recollections

Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.

Primary Decomposition: Understanding Schemes

Explores primary decomposition and schemes in algebraic geometry, emphasizing the importance of working over non-algebraically closed fields and the concept of fibers of morphisms.

Prime ideals and local rings

Covers the concept of prime ideals and local rings, emphasizing their importance.

Ring Constructions: Structure Theorems

Explores operations on ideals and structure theorems in commutative rings.

Dedekind Rings: Factorisation and Ideal Class Group

Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.

Irreducible Factors and Noetherian Rings

Discusses irreducible factors in rings and the properties of Noetherian rings.

Dedekind Rings: Theory and Applications

Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.

Algebraic Quotients

Covers the concept of algebraic quotients in the context of a-variety.

Affine varieties: additional observations

Covers coordinate rings, closed embeddings, and operations on affine varieties.

Lie Algebras: Introduction and Structure

Introduces Lie algebras, vector spaces with a special bracket operation.